Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics, numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.
Richard Robert Ernst was a Swiss physical chemist and Nobel laureate.
In computer science, a trie, also called digital tree or prefix tree, is a type of search tree: specifically, a k-ary tree data structure used for locating specific keys from within a set. These keys are most often strings, with links between nodes defined not by the entire key, but by individual characters. In order to access a key, the trie is traversed depth-first, following the links between nodes, which represent each character in the key.
Sir Charles Antony Richard Hoare also known as Tony Hoare or by his initials C. A. R. Hoare is a British computer scientist who has made foundational contributions to programming languages, algorithms, operating systems, formal verification, and concurrent computing. His work earned him the Turing Award, usually regarded as the highest distinction in computer science, in 1980.
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials.
The University of Waterloo is a public research university with a main campus in Waterloo, Ontario, Canada. The main campus is on 404 hectares of land adjacent to uptown Waterloo and Waterloo Park. The university also operates three satellite campuses and four affiliated university colleges. The university offers academic programs administered by six faculties and thirteen faculty-based schools. Waterloo operates the largest post-secondary co-operative education program in the world, with over 20,000 undergraduate students enrolled in the university's co-op program. Waterloo is a member of the U15, a group of research-intensive universities in Canada.
The Z3 was a German electromechanical computer designed by Konrad Zuse in 1938, and completed in 1941. It was the world's first working programmable, fully automatic digital computer. The Z3 was built with 2,600 relays, implementing a 22-bit word length that operated at a clock frequency of about 5–10 Hz. Program code was stored on punched film. Initial values were entered manually.
Henri Paul Cartan was a French mathematician who made substantial contributions to algebraic topology.
Herzog & de Meuron Basel Ltd. is a Swiss architecture firm headquartered in Basel (Switzerland), founded by Jacques Herzog and Pierre de Meuron.
Waterloo Maple Inc. is a Canadian software company, headquartered in Waterloo, Ontario. It operates under the trade name Maplesoft. It is best known as the manufacturer of the Maple computer algebra system, and MapleSim physical modeling and simulation software.
Computational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science, and more specifically the Computer Sciences, which uses advanced computing capabilities to understand and solve complex physical problems. While this discussion typically extenuates into Visual Computation, this research field of study will typically include the following research categorizations.
Keith Oliver Geddes is a professor emeritus in the David R. Cheriton School of Computer Science within the Faculty of Mathematics at the University of Waterloo in Waterloo, Ontario. He is a former director of the Symbolic Computation Group in the School of Computer Science. He received a BA in Mathematics at the University of Saskatchewan in 1968; he completed both his MSc and PhD in Computer Science at the University of Toronto.
Steven Albert Benner is an American chemist. He has been a professor at Harvard University, ETH Zurich, and most recently at the University of Florida, where he was the V.T. & Louise Jackson Distinguished Professor of Chemistry. In 2005, he founded The Westheimer Institute of Science and Technology (TWIST) and the Foundation For Applied Molecular Evolution. Benner has also founded the companies EraGen Biosciences and Firebird BioMolecular Sciences LLC.
Peter John Hilton was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during World War II.
Darwin is a closed source programming language developed by Gaston Gonnet and colleagues at ETH Zurich. It is used to develop the OMA orthology inference software, which was also initially developed by Gonnet. The language backend consists of the kernel, responsible for performing simple mathematical calculations, for transporting and storing data and for interpreting the user's commands, and the library, a set of programs which can perform more complicated calculations. The target audience for the language is the biosciences, so the library consisted of routines such as those to compute pairwise alignments, phylogenetic trees, multiple sequence alignments, and to make secondary structure predictions.
Michael Ralph Fellows AC HFRSNZ MAE is a computer scientist and the Elite Professor of Computer Science in the Department of Informatics at the University of Bergen, Norway as of January 2016.
Yakov Matveevich Eliashberg is an American mathematician who was born in Leningrad, USSR.
Christophe Dessimoz is a Swiss National Science Foundation (SNSF) Professor at the University of Lausanne, Associate Professor at University College London and a group leader at the Swiss Institute of Bioinformatics. He was awarded the Overton Prize in 2019 for his contributions to computational biology. Starting in April 2022, he will be joint executive director of the SIB Swiss Institute of Bioinformatics, along with Ron Appel.
Dan Burghelea is a Romanian-American mathematician, academic, and researcher. He is an Emeritus Professor of Mathematics at Ohio State University.
